6+3(x-5)=3(-x+3)

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Solution for 6+3(x-5)=3(-x+3) equation: 


Simplifying
6 + 3(x + -5) = 3(-1x + 3)

Reorder the terms:
6 + 3(-5 + x) = 3(-1x + 3)
6 + (-5 * 3 + x * 3) = 3(-1x + 3)
6 + (-15 + 3x) = 3(-1x + 3)

Combine like terms: 6 + -15 = -9
-9 + 3x = 3(-1x + 3)

Reorder the terms:
-9 + 3x = 3(3 + -1x)
-9 + 3x = (3 * 3 + -1x * 3)
-9 + 3x = (9 + -3x)

Solving
-9 + 3x = 9 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-9 + 3x + 3x = 9 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-9 + 6x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 6x = 9 + 0
-9 + 6x = 9

Add '9' to each side of the equation.
-9 + 9 + 6x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 9 + 9
6x = 9 + 9

Combine like terms: 9 + 9 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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